83 citations · 115 across the 9 of their papers we have counts for
9 papers
The perturbative invariants of rational homology 3-spheres can be recovered from the LMO invariant
Takahito Kuriya, Thang T. Q. Le, Tomotada Ohtsuki
We show that the perturbative invariant of rational homology 3-spheres can be recovered from the LMO invariant for any simple Lie algebra , i.e, the LMO inva…
Epimorphisms between 2-bridge link groups
Tomotada Ohtsuki, Robert Riley, Makoto Sakuma
We give a systematic construction of epimorphisms between 2-bridge link groups. Moreover, we show that 2-bridge links having such an epimorphism between their link groups are relat…
Vanishing of 3-Loop Jacobi Diagrams of Odd Degree
Daniel Moskovich, Tomotada Ohtsuki
We prove the vanishing of the space of 3-loop Jacobi diagrams of odd degree. This implies that no 3-loop finite-type invariant can distinguish between a knot and its inverse.
Problems on invariants of knots and 3-manifolds
J. E. Andersen, N. Askitas, D. Bar-Natan +57
This is a list of open problems on invariants of knots and 3-manifolds with expositions of their history, background, significance, or importance. This list was made by editing ope…
A cabling formula for the 2-loop polynomial of knots
Tomotada Ohtsuki
The 2-loop polynomial is a polynomial presenting the 2-loop part of the Kontsevich invariant of knots. We show a cabling formula for the 2-loop polynomial of knots. In particular,…
Finite type invariants of knots via their Seifert matrices
Hitoshi Murakami, Tomotada Ohtsuki
We define a filtration on the vector space spanned by Seifert matrices of knots related to Vassiliev's filtration on the space of knots. Further we show that the invariants of knot…